Soliton with non-constant velocity

Alexandre I. Zenchuk

Mathematics and Computers in Simulation (MATCOM), 2003, vol. 62, issue 1, 191-201

Abstract: This article develops the dressing method for the investigation of the non-integrable in classical sense nonlinear partial differential equations (PDEs). We construct (1+1)-dimensional family of nonlinear PDE which admits specific type of soliton-like solutions whose velocity depends on the space coordinate. Analogy of zero-curvature representation is discussed briefly.

Keywords: Soliton; Dressing method; Non-integrable equations; Burgers equation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:62:y:2003:i:1:p:191-201

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